This paper presents a formula for a-number of certain maximal curves characterized by the equation yq+1/2 = xᵐ + x over the finite field Fq². a-number serves as an invariant for the isomorphism class of the p-torsion group scheme. Utilizing the action of the Cartier operator on H⁰(X, Ω¹), we establish a closed formula for a-number of X.
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Mosallaei et al. (2024) studied this question.
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